Alright, let's go through the problem step-by-step to determine if Natasha has been billed correctly:
1. Calculate the cost of the books:
- Natasha buys 3 hardcover books, each for \$19.95.
- The total cost for the hardcover books is: \( 3 \times 19.95 = 59.85 \).
2. Calculate the cost of the book on tape:
- Natasha buys 1 book on tape for \$17.43.
- The total cost for the book on tape is: \( 1 \times 17.43 = 17.43 \).
3. Calculate the subtotal:
- The subtotal (before tax and shipping) is: \( 59.85 + 17.43 = 77.28 \).
4. Calculate the tax:
- The tax rate is: 7.25%.
- The tax amount is: \( 77.28 \times 0.0725 = 5.61 \).
5. Determine the shipping cost:
- Based on the given table, for a subtotal of \( 50 < 77.28 \leq 100 \), the standard shipping cost is: \( 6.35 \).
6. Calculate the total amount:
- The total amount is the subtotal plus the tax amount plus the shipping cost: \( 77.28 + 5.61 + 6.35 = 89.24 \).
7. Given billed amount:
- Natasha was billed: \$91.08.
8. Determine if Natasha has been billed correctly:
- Compare the total amount (\[tex]$89.24) with the billed amount (\$[/tex]91.08).
- The difference is: \( 91.08 - 89.24 = 1.84 \).
Since, the difference between the billed amount and the total correctly calculated amount is \$1.84, the option which best fits this scenario is:
c. Natasha has been over charged by \$1.85 for her purchase.
